Weight polytopes and energy functionals of toric varieties
Algebraic Geometry
2023-02-21 v1 Differential Geometry
Abstract
We prove that the weight polytope of the Hurwitz form of a polarized smooth toric variety coincides with the convex hull of the characteristic vectors introduced in the previous work of Ogusu and the author with respect to all regular triangulations of the momentum polytope. Our proof relies on the combination of the two slope formulas of K-energy in the toric setting.
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Cite
@article{arxiv.2302.09801,
title = {Weight polytopes and energy functionals of toric varieties},
author = {Yuji Sano},
journal= {arXiv preprint arXiv:2302.09801},
year = {2023}
}
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16 pages